Zoloft has dizziness listed as a possible side effect but I doubt that there are many psychotropic meds that don't have dizziness as a possible side effect.
Nobody can predict whether you will have this side effect.
It seems like it may be a good idea to try the med and see because your fears and anxieties seem so severe. If it does cause dizziness you have the option of discontinuing the med or waiting for the side effect to subside.
Try to relax.